Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze9.0ms (0.5%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample864.0ms (46%)

Memory

30.7MiB live, 999.3MiB allocated; 285ms collecting garbage

Samples

566.0ms	8 253×	0	valid
12.0ms	266×	0	invalid
0.0ms	3×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-sqrt: 121.0ms (35% of total)

ival-mult: 95.0ms (27.5% of total)

ival-sub: 76.0ms (22% of total)

ival-add: 42.0ms (12.2% of total)

exact: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain79.0ms (4.2%)

Memory

9.7MiB live, 113.5MiB allocated; 16ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
-	-	`(sqrt.f64 x)`
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 y (sqrt.f64 x))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sqrt: 4.0ms (31.2% of total)

ival-sub: 3.0ms (23.4% of total)

ival-mult: 3.0ms (23.4% of total)

ival-add: 2.0ms (15.6% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess208.0ms (11.1%)

Memory

-13.2MiB live, 172.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	54
1	55	54
2	112	54
3	196	51
4	415	50
5	1189	50
6	3067	50
7	6969	50
0	7	8
0	11	8
1	20	8
2	35	8
3	64	8
4	133	8
5	459	8
6	3607	8
7	7197	8
0	8053	7

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

series6.0ms (0.3%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

7 → 22

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))

rewrite61.0ms (3.3%)

Memory

-4.2MiB live, 41.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	333
0	84	307
0	392	289

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

29 → 40

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))

Outputs
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
y
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* y (sqrt x)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
#s(approx y y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))

eval4.0ms (0.2%)

Memory: 7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 567 to 125 computations (78% saved)

prune4.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	7	43

Accuracy

100.0%

Counts

43 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	99.9%	(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
▶	73.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	59.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	92.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
	59.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
▶	41.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))

Compiler

Compiled 190 to 148 computations (22.1% saved)

series14.0ms (0.7%)

Memory

-27.0MiB live, 17.5MiB allocated; 6ms collecting garbage

Counts

13 → 60

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
#s(literal 1 binary64)
(-.f64 x (*.f64 (sqrt.f64 x) y))
x
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Outputs
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (- x (* (sqrt x) y))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- 1 x)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 x))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* y (- (/ x y) (sqrt x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) (* -1 (sqrt x)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) x (* (sqrt x) y) (sqrt x) y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (sqrt x) y) (- 1 x)))
1.0ms	x	@	inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) x (* (sqrt x) y) (sqrt x) y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (sqrt x) y) (- 1 x)))
1.0ms	y	@	-inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) x (* (sqrt x) y) (sqrt x) y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (sqrt x) y) (- 1 x)))
1.0ms	y	@	0	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) x (* (sqrt x) y) (sqrt x) y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (sqrt x) y) (- 1 x)))
1.0ms	y	@	inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) x (* (sqrt x) y) (sqrt x) y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (sqrt x) y) (- 1 x)))

rewrite60.0ms (3.2%)

Memory

21.5MiB live, 65.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1064
0	155	956
0	599	942

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

73 → 127

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
#s(literal 1 binary64)
(-.f64 x (*.f64 (sqrt.f64 x) y))
x
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (- x (* (sqrt x) y))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- 1 x)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 x))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* y (- (/ x y) (sqrt x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) (* -1 (sqrt x)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x x)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y))) (+.f64 x (*.f64 (sqrt.f64 x) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 (sqrt.f64 x) y)) (neg.f64 (.f64 (sqrt.f64 x) y)))) (-.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (.f64 x (*.f64 (sqrt.f64 x) y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 x) y)) (neg.f64 (.f64 (sqrt.f64 x) y))) (.f64 x (neg.f64 (.f64 (sqrt.f64 x) y))))))
(fma.f64 (neg.f64 (sqrt.f64 x)) y x)
(fma.f64 (*.f64 #s(literal -1 binary64) y) (sqrt.f64 x) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64) x)
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) y) x)
(-.f64 x (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(-.f64 x (*.f64 (sqrt.f64 x) y))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) x)
(+.f64 x (neg.f64 (*.f64 (sqrt.f64 x) y)))
x
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) (-.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x x)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- x (* (sqrt x) y)) (neg.f64 (*.f64 (sqrt.f64 x) y)))
#s(approx (- x (* (sqrt x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))
#s(approx x x)
#s(approx (* (sqrt x) y) (*.f64 (sqrt.f64 x) y))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- x (* (sqrt x) y)) (.f64 (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (* (sqrt x) y) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) y))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (sqrt x) y) 1) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) y))))
#s(approx (+ (* (sqrt x) y) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
#s(approx (- x (* (sqrt x) y)) x)
#s(approx (- x (* (sqrt x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))
#s(approx y y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (- x (* (sqrt x) y)) (*.f64 (-.f64 (/.f64 x y) (sqrt.f64 x)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (- x (* (sqrt x) y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (+ (* (sqrt x) y) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64))) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))

eval48.0ms (2.6%)

Memory: -21.3MiB live, 39.4MiB allocated; 44ms collecting garbage
Compiler: Compiled 2 037 to 315 computations (84.5% saved)

prune8.0ms (0.4%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	125	5	130
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	126	11	137

Accuracy

100.0%

Counts

137 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	67.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
▶	92.0%	(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x)))
✓	73.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	59.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	59.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
✓	41.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
▶	27.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	33.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
	65.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) x)))

Compiler

Compiled 262 to 190 computations (27.5% saved)

series19.0ms (1%)

Memory

-16.7MiB live, 31.8MiB allocated; 8ms collecting garbage

Counts

19 → 78

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x)))
#s(literal 1 binary64)
#s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x)
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))

Outputs
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (- x (* (sqrt x) y))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) y))))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (/ (- x (* (sqrt x) y)) x)))
#s(approx (* (/ 1 (sqrt x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (- 1 (* (sqrt (/ 1 x)) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- 1 x)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 x))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 x))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 1))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* y (- (/ x y) (sqrt x)))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 (* y (+ (* -1 (sqrt x)) (/ x y)))))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (* y (- (/ 1 y) (sqrt (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) (* -1 (sqrt x)))))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 (* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) (* (- 1 (* (/ 1 (sqrt x)) y)) x) (- 1 (* (/ 1 (sqrt x)) y)) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1))
5.0ms	x	@	-inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) (* (- 1 (* (/ 1 (sqrt x)) y)) x) (- 1 (* (/ 1 (sqrt x)) y)) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1))
2.0ms	y	@	-inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) (* (- 1 (* (/ 1 (sqrt x)) y)) x) (- 1 (* (/ 1 (sqrt x)) y)) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1))
2.0ms	y	@	inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) (* (- 1 (* (/ 1 (sqrt x)) y)) x) (- 1 (* (/ 1 (sqrt x)) y)) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1))
2.0ms	x	@	0	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) (* (- 1 (* (/ 1 (sqrt x)) y)) x) (- 1 (* (/ 1 (sqrt x)) y)) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1))

rewrite85.0ms (4.5%)

Memory

-1.2MiB live, 44.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	1487
0	200	1395
0	770	1345

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

97 → 134

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x)))
#s(literal 1 binary64)
#s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x)
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (- x (* (sqrt x) y))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) y))))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (/ (- x (* (sqrt x) y)) x)))
#s(approx (* (/ 1 (sqrt x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (- 1 (* (sqrt (/ 1 x)) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- 1 x)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 x))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 x))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 1))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* y (- (/ x y) (sqrt x)))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 (* y (+ (* -1 (sqrt x)) (/ x y)))))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (* y (- (/ 1 y) (sqrt (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) (* -1 (sqrt x)))))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) #s(hole binary64 (* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(hole binary64 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (- x ( (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)))) (+.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)) (.f64 #s(literal 1 binary64) #s(approx (- x ( (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)))
#s(literal 1 binary64)
#s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (neg.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))))
(fma.f64 #s(literal 1 binary64) x (.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (neg.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) (neg.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)))) (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) (neg.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))))))
(fma.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) y #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))
(+.f64 (neg.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)
(*.f64 y (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (-.f64 (.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x)) (-.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x))
(.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x)
(.f64 x (-.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- x (* (sqrt x) y)) (neg.f64 (*.f64 y (sqrt.f64 x))))
#s(approx (- x (* (sqrt x) y)) (-.f64 x (*.f64 y (sqrt.f64 x))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) (neg.f64 (*.f64 y (sqrt.f64 x))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) (-.f64 x (*.f64 y (sqrt.f64 x))))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) x))
#s(approx (* (/ 1 (sqrt x)) y) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))
#s(approx (/ 1 (sqrt x)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 y (sqrt.f64 x)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (fma.f64 y (sqrt.f64 x) (neg.f64 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- x (* (sqrt x) y)) x)
#s(approx (- x (* (sqrt x) y)) (-.f64 x (*.f64 y (sqrt.f64 x))))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) x)
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) #s(literal 1 binary64))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)))
#s(approx y y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (- x (* (sqrt x) y)) (*.f64 (-.f64 (/.f64 x y) (sqrt.f64 x)) y))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) (*.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (- x (* (sqrt x) y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (* (- 1 (* (/ 1 (sqrt x)) y)) x) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y)))
#s(approx (- 1 (* (/ 1 (sqrt x)) y)) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (neg.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) y)))

eval15.0ms (0.8%)

Memory: 25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 165 to 461 computations (85.4% saved)

prune12.0ms (0.6%)

Memory

-27.2MiB live, 16.1MiB allocated; 7ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	0	1
Picked	1	4	5
Done	0	5	5
Total	150	10	160

Accuracy

100.0%

Counts

160 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	67.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
▶	92.1%	(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) x)))
✓	73.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	59.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	59.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
✓	41.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
✓	27.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	33.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 131 to 99 computations (24.4% saved)

series7.0ms (0.4%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

10 → 38

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) x)))
#s(literal 1 binary64)
#s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 x)
x

Outputs
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (- x (* (sqrt x) y))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) y))))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (/ (- x (* (sqrt x) y)) x)))
#s(approx (/ (* 1 y) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (- 1 (* (sqrt (/ 1 x)) y))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- 1 x)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 x))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 x))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 1))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
#s(approx (* 1 y) #s(hole binary64 y))
#s(approx y #s(hole binary64 y))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* y (- (/ x y) (sqrt x)))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 (* y (+ (* -1 (sqrt x)) (/ x y)))))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (* y (- (/ 1 y) (sqrt (/ 1 x))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) (* -1 (sqrt x)))))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 (* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) (* (- 1 (/ (* 1 y) (sqrt x))) x) (- 1 (/ (* 1 y) (sqrt x))) (/ (* 1 y) (sqrt x)) (* 1 y) y (sqrt x) x)
1.0ms	y	@	-inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) (* (- 1 (/ (* 1 y) (sqrt x))) x) (- 1 (/ (* 1 y) (sqrt x))) (/ (* 1 y) (sqrt x)) (* 1 y) y (sqrt x) x)
1.0ms	x	@	inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) (* (- 1 (/ (* 1 y) (sqrt x))) x) (- 1 (/ (* 1 y) (sqrt x))) (/ (* 1 y) (sqrt x)) (* 1 y) y (sqrt x) x)
1.0ms	y	@	inf	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) (* (- 1 (/ (* 1 y) (sqrt x))) x) (- 1 (/ (* 1 y) (sqrt x))) (/ (* 1 y) (sqrt x)) (* 1 y) y (sqrt x) x)
1.0ms	x	@	0	((- 1 (- x (* (sqrt x) y))) 1 (- x (* (sqrt x) y)) (* (- 1 (/ (* 1 y) (sqrt x))) x) (- 1 (/ (* 1 y) (sqrt x))) (/ (* 1 y) (sqrt x)) (* 1 y) y (sqrt x) x)

rewrite84.0ms (4.5%)

Memory

-21.7MiB live, 73.1MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	686
0	127	600
0	575	596

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

48 → 56

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) x)))
#s(literal 1 binary64)
#s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) y)
y
(sqrt.f64 x)
x
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (- x (* (sqrt x) y))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) y))))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (/ (- x (* (sqrt x) y)) x)))
#s(approx (/ (* 1 y) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (- 1 (* (sqrt (/ 1 x)) y))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- 1 x)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 x))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 x))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 1))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
#s(approx (* 1 y) #s(hole binary64 y))
#s(approx y #s(hole binary64 y))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* y (- (/ x y) (sqrt x)))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 (* y (+ (* -1 (sqrt x)) (/ x y)))))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (* y (- (/ 1 y) (sqrt (/ 1 x))))))
#s(approx (- 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) (* -1 (sqrt x)))))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) #s(hole binary64 (* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(hole binary64 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (- x ( (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x)) #s(approx (- x ( (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x)))) (+.f64 #s(literal 1 binary64) #s(approx (- x ( (sqrt x) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- x ( (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x)) #s(approx (- x ( (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x)) (.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x)))
#s(literal 1 binary64)
#s(approx (- x (* (sqrt x) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))
(-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
y
y
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(approx (- 1 (- x (* (sqrt x) y))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (- 1 (- x (* (sqrt x) y))) (+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- x (* (sqrt x) y)) (neg.f64 (*.f64 y (sqrt.f64 x))))
#s(approx (- x (* (sqrt x) y)) (-.f64 x (*.f64 y (sqrt.f64 x))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) (neg.f64 (*.f64 y (sqrt.f64 x))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) (-.f64 x (*.f64 y (sqrt.f64 x))))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) x))
#s(approx (/ (* 1 y) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (- 1 (- x (* (sqrt x) y))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (- 1 (- x (* (sqrt x) y))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)))
#s(approx (- 1 (- x (* (sqrt x) y))) (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))))
#s(approx (- 1 (- x (* (sqrt x) y))) (.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- 1 (- x (* (sqrt x) y))) (-.f64 #s(literal 1 binary64) x))
#s(approx (- 1 (- x (* (sqrt x) y))) (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))
#s(approx (- x (* (sqrt x) y)) x)
#s(approx (- x (* (sqrt x) y)) (-.f64 x (*.f64 y (sqrt.f64 x))))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) x)
#s(approx (- 1 (/ (* 1 y) (sqrt x))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)))
#s(approx (* 1 y) y)
#s(approx (* 1 y) y)
#s(approx (- 1 (- x (* (sqrt x) y))) (*.f64 y (sqrt.f64 x)))
#s(approx (- 1 (- x (* (sqrt x) y))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (- x (* (sqrt x) y)) (*.f64 (-.f64 (/.f64 x y) (sqrt.f64 x)) y))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) (*.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))
#s(approx (- 1 (- x (* (sqrt x) y))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (- x (* (sqrt x) y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (* (- 1 (/ (* 1 y) (sqrt x))) x) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y)))
#s(approx (- 1 (/ (* 1 y) (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) y))

eval6.0ms (0.3%)

Memory: 12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 230 to 219 computations (82.2% saved)

prune6.0ms (0.3%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	1	0	1
Done	1	8	9
Total	56	9	65

Accuracy

100.0%

Counts

65 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	67.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
	92.1%	(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 1 y) y) (sqrt.f64 x))) x)))
✓	73.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	59.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	41.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
✓	27.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	33.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 342 to 147 computations (57% saved)

regimes33.0ms (1.7%)

Memory

-19.7MiB live, 26.3MiB allocated; 3ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 1 y) y) (sqrt.f64 x))) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x)))
(-.f64 #s(literal 1 binary64) #s(approx (- x (* (sqrt x) y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

23.0ms	x
4.0ms	y
4.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.4%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
99.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.5%	2	`x`
96.8%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

Outputs

#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
94.9%	3	`y`
81.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
85.4%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.3%)

Memory

-38.7MiB live, 5.6MiB allocated; 6ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
92.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))

#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
59.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
59.2%	1	`x`
59.2%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Calls

3 calls:

1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
58.8%	2	`x`
39.5%	4	`y`
59.5%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Calls

3 calls:

1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
33.1%	1	`y`
33.1%	1	`x`
33.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch17.0ms (0.9%)

Memory

-33.8MiB live, 23.4MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.2130893209003516e-7	1.4088980362379359e-5

Samples

5.0ms

112×

valid

Compiler

Compiled 179 to 159 computations (11.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (36.8% of total)

ival-mult: 1.0ms (36.8% of total)

ival-sqrt: 1.0ms (36.8% of total)

ival-true: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch26.0ms (1.4%)

Memory

2.2MiB live, 45.6MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0520579768567903e+64	1.6949503945405834e+66
11.0ms	-3.8002676287928284e+59	-2.4592235870927882e+56

Samples

11.0ms

240×

valid

Compiler

Compiled 401 to 357 computations (11% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sqrt: 2.0ms (33.2% of total)

ival-sub: 1.0ms (16.6% of total)

ival-add: 1.0ms (16.6% of total)

ival-mult: 1.0ms (16.6% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch45.0ms (2.4%)

Memory

-4.8MiB live, 40.5MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.0520579768567903e+64	1.6949503945405834e+66
9.0ms	-3.8002676287928284e+59	-2.4592235870927882e+56

Samples

9.0ms

208×

valid

Compiler

Compiled 386 to 342 computations (11.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 1.0ms (19.8% of total)

ival-add: 1.0ms (19.8% of total)

ival-mult: 1.0ms (19.8% of total)

ival-sqrt: 1.0ms (19.8% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1508437572700.463	0.968591795400233

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify63.0ms (3.3%)

Memory

-3.3MiB live, 41.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	170
1	60	170
2	76	170
3	106	170
4	163	170
5	423	170
6	3448	170
7	5922	170

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 8264141345021879/590295810358705651712 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -280000000000000008310336636449409737310516586697384263680 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 26999999999999999552600167123636672809554579622836939803754233856 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -380000000000000009312065267007324790611904493174998555426816 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 750000000000000005759802795774477226800149574436992572489222586368 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1000000000000 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 8264141345021879/590295810358705651712 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -280000000000000008310336636449409737310516586697384263680 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 26999999999999999552600167123636672809554579622836939803754233856 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -380000000000000009312065267007324790611904493174998555426816 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 750000000000000005759802795774477226800149574436992572489222586368 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1000000000000 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

derivations9.0ms (0.5%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 195 to 42 computations (78.5% saved)

preprocess55.0ms (2.9%)

Memory: 1.0MiB live, 51.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 406 to 98 computations (75.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze9.0ms (0.5%)

sample864.0ms (46%)

explain79.0ms (4.2%)

preprocess208.0ms (11.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.3%)

rewrite61.0ms (3.3%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

series14.0ms (0.7%)

rewrite60.0ms (3.2%)

eval48.0ms (2.6%)

prune8.0ms (0.4%)

series19.0ms (1%)

rewrite85.0ms (4.5%)

eval15.0ms (0.8%)

prune12.0ms (0.6%)

series7.0ms (0.4%)

rewrite84.0ms (4.5%)

eval6.0ms (0.3%)

prune6.0ms (0.3%)

regimes33.0ms (1.7%)

regimes7.0ms (0.4%)

regimes6.0ms (0.3%)

regimes5.0ms (0.3%)

regimes5.0ms (0.3%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch17.0ms (0.9%)

bsearch26.0ms (1.4%)

bsearch45.0ms (2.4%)

bsearch1.0ms (0%)

simplify63.0ms (3.3%)

derivations9.0ms (0.5%)

preprocess55.0ms (2.9%)

end0.0ms (0%)

Profiling